College Algebra
Critical Areas of College Algebra
Critical Areas of College Algebra
- Families of functions can be organized around certain basic functions. Each basic function can be transformed in standard ways, which affect the table of values, the graph and the equation.
- A function can have an inverse, which undoes the operations of the function.
- Beyond the basic arithmetic operations, there are more complex operations, like logarithms and trigonometry, which involve operations that follow more complex procedures.
- Graphs and other tools are used to analyze the features of functions.
- Graphs and numerical descriptions are used to describe sets of data.
- Probability and counting techniques are used to describe the likelihood of complicated events.
- Apply advanced algebra topics at more complex levels and in new mathematical domains, for example with rational expressions and equations.
- Develop an understanding for specific topics in discrete mathematics.
- Use the language and notation of algebra with increasing sophistication.
- Study general characteristics of functions and their inverses and the behavior of functions under transformations and composition.
- Study circular functions and the trigonometry of right and general triangles.
Order of Units
Order of Units
Semester 1:
Chapter 3 – Transformations of Functions
Chapter 4 – Circular Functions
Chapter 5 – Trigonometric Functions
Chapter 6 – Root, Power, and Logarithm Functions
Chapter 9 – Polynomial Functions Part 1
Semester 2:
Chapter 9 – Polynomial Functions part 2
Rational Expressions and Equations
Chapter 7 – Probability and Simulation
Chapter 8 – Sequences, Series, and Combinations
Chapter 1 – Elementary Statistics
Parent Resources
Parent Resources
- Text: UCSMP Functions, Statistics & Trigonometry 2nd Edition published by Scott Foresman, copyright 1998
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